The defeat leaves Glasgow winless in their debut campaign but they showed enough in their seven fixtures to be encouraged about future competition.
Bryonie King and Robyn Wilkins gave the hosts as 12-0 half-time lead which didn't reflect the possession territory enjoyed by Warriors.
Maisie Davies added a third early in the second half to make Warriors pay for their missed opportunities.
Sophie Anderson went over for Glasgow on 49 minutes, but Abbey Constable, Molly Reardon, Kate Davies and Rhod Parry all crossed to seal a convincing win for Lightning.